Abstract

A boundary integral method [1] for calculating leaky and guided modes of microstructured optical fibers is presented. The method is rapidly converging and can handle a large number of inclusions (hundreds) of arbitrary geometries. Both, solid and hollow core photonic crystal fibers can be treated efficiently. We demonstrate that for large systems featuring closely spaced inclusions the computational intensity of the boundary integral method is significantly smaller than that of the multipole method. This is of particular importance in the case of hollow core band gap guiding fibers. We demonstrate versatility of the method by applying it to several challenging problems.

Figures (7)

Three structures studied in the paper. (a) Hollow coreMOF with five rings of circular holes; the pitch is Λ=2.74µm, the hole diameter is d=.95Λ and the core diameter is dc=2.5d. (b) Elliptic hollow core MOF with three layers of circular holes; the pitch is Λ=2µm, the hole diameter is d=0.9Λ and the core principal axis are a=2.3µm and b=4.6µm. (c) Solid core MOF with six silver coated elliptical holes; the outer hole principal axis are ao=0.84µm and bo=0.76mm, the inner hole principal axis are ai=0.74µm and bi=0.66µm, the pitch is Λ=1.5mm.

Loss dispersion curves for the two polarizations of the fundamental mode of a MOF with one ring of metallized elliptic holes. Outset: Sz fluxes for the x and y polarizations of the fundamental mode at the wavelengths of the two plasmon excitation peaks.

Table 3. Effective refractive index of a mode of a solid core MOF featuring one ring of six elliptic inclusions (see Fig. 3(b)). The results are for the fundamental mode where the nodal line of the Ez field is horizontal. For the other polarization the value 1.446429072+ 2.9898E-6i is obtained by us and 1.446427235+2.9601E-6i by [17].

Table 3.

Effective refractive index of a mode of a solid core MOF featuring one ring of six elliptic inclusions (see Fig. 3(b)). The results are for the fundamental mode where the nodal line of the Ez field is horizontal. For the other polarization the value 1.446429072+ 2.9898E-6i is obtained by us and 1.446427235+2.9601E-6i by [17].

Table 3.

Effective refractive index of a mode of a solid core MOF featuring one ring of six elliptic inclusions (see Fig. 3(b)). The results are for the fundamental mode where the nodal line of the Ez field is horizontal. For the other polarization the value 1.446429072+ 2.9898E-6i is obtained by us and 1.446427235+2.9601E-6i by [17].